λ
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Atlas › Integer Profiles › Node 9,783,790

9,783,790

2 × 5 × 43 × 61 × 373
Deficient Even Composite

9,783,790 factors as 2 × 5 × 43 × 61 × 373. Its 32 positive divisors give a proper-divisor sum of 8,581,106, so this integer is deficient. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 5 × 43 × 61 × 373
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,364,896
Proper Divisor Sum 8,581,106
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9783779 ← → #9783797

Radix Representation

Decimal 9783790
Binary 100101010100100111101110 (24 bits)
Octal 0o45244756
Hexadecimal 0x9549EE

Divisor Catalog (32)

1 2 5 10 43 61 86 122 215 305 373 430 610 746 1,865 2,623 3,730 5,246 13,115 16,039 22,753 26,230 32,078 45,506 80,195 113,765 160,390 227,530 978,379 1,956,758 4,891,895 9,783,790

Collatz Trajectory (207 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

9,783,790 4,891,895 14,675,686 7,337,843 22,013,530 11,006,765 33,020,296 16,510,148 8,255,074 4,127,537 12,382,612 6,191,306 3,095,653 9,286,960 4,643,480 2,321,740 1,160,870 580,435 1,741,306 870,653 2,611,960 1,305,980 652,990 326,495 979,486 489,743 1,469,230 734,615 2,203,846 1,101,923 3,305,770 1,652,885 4,958,656 2,479,328 1,239,664 619,832 309,916 154,958 77,479 232,438 116,219 348,658 174,329 522,988 261,494 130,747 392,242 196,121 588,364 294,182 147,091 441,274 220,637 661,912 330,956 165,478 82,739 248,218 124,109 372,328

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